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Finding the Fourth Proportional to 657,192.30, 983,601.45 and 476,764.80

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Solution

The fourth proportional to 657,192.30, 983,601.45 and 476,764.80 is: 713,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,192.30 : 983,601.45 = 476,764.80 : x
  2. Step 2: Convert to fraction form
    657,192.30/983,601.45 = 476,764.80/x
  3. Step 3: Cross multiply
    657,192.30x = 983,601.45 × 476,764.80
  4. Step 4: Simplify right side
    657,192.30x = 468,946,548,588.96
  5. Step 5: Solve for x
    x = 468,946,548,588.96/657,192.30
  6. Step 6: Final answer
    x = 713,560.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.